2013
DOI: 10.1007/s13369-013-0542-0
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Defining Homogeneous Regions for Streamflow Processes in Turkey Using a K-Means Clustering Method

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Cited by 33 publications
(28 citation statements)
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“…It can be stated that its results include more information on explaining hydrological processes better than the conventional methods, such as Hard K‐Means and Wards' method (Dikbas et al , ). It has been found that FCM is effective in reducing the number of regions to be delineated for RFA (Kulkarni and Kripalani, ; Shu and Burn, ; Dikbas et al , ; Bharath and Srinivas, ), which is based on the minimization of the following objective function: Jm=truetruefalse∑i=1Ntruetruefalse∑j=1Cuijmtrue|true|xicj2true|true|,0.25em1m< wherein, m is any real number greater than 1, u ij is the degree of membership of x i in the cluster j , x i is the i th d‐dimensional measured data, c j is the d‐dimension center of the cluster, and ||*|| is any norm to express the similarity between any measured data and the center.…”
Section: Methodsmentioning
confidence: 99%
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“…It can be stated that its results include more information on explaining hydrological processes better than the conventional methods, such as Hard K‐Means and Wards' method (Dikbas et al , ). It has been found that FCM is effective in reducing the number of regions to be delineated for RFA (Kulkarni and Kripalani, ; Shu and Burn, ; Dikbas et al , ; Bharath and Srinivas, ), which is based on the minimization of the following objective function: Jm=truetruefalse∑i=1Ntruetruefalse∑j=1Cuijmtrue|true|xicj2true|true|,0.25em1m< wherein, m is any real number greater than 1, u ij is the degree of membership of x i in the cluster j , x i is the i th d‐dimensional measured data, c j is the d‐dimension center of the cluster, and ||*|| is any norm to express the similarity between any measured data and the center.…”
Section: Methodsmentioning
confidence: 99%
“…It can be stated that its results include more information on explaining hydrological processes better than the conventional methods, such as Hard K-Means and Wards' method (Dikbas et al, 2012). It has been found that FCM is effective in reducing the number of regions to be delineated for RFA (Kulkarni and Kripalani, 1998;Shu and Burn, 2004;Dikbas et al, 2013;Bharath and Srinivas, 2014), which is based on the minimization of the following objective function:…”
Section: Identification Of Homogenous Regions Through Cluster Analysismentioning
confidence: 99%
“…The homogeneous region (HR) concept identifies groups with minimal variation of data within a region, with a larger high spatial variability between regions (Hall and Minns, 2009;Dikbas et al, 2013). There are various approaches for defining regions of hydrologic homogeneity (Borujeni and Sulaiman, 2009;Hosking, 1990;Viglione et al, 2007).…”
Section: Selection Of Homogeneous Regionsmentioning
confidence: 99%
“…where χ 2 is the reduced chi-square; RSS is the residual sum of squares; TSS is the total sum of squares; dfE is the error degrees of freedom; I o (t) and I p (t) are the observed and predicted cumulative infiltration (cm) at infiltration time t, respectively; and n is the total number of measurement times. K-means clustering, which is popular for cluster analysis in data mining, aims to partition n observations into k clusters in which each observation belongs to the cluster with the nearest mean, serving as a prototype of the cluster [38]. This results in a partitioning of the data space into Voronoi cells.…”
Section: Model Evaluation and Data Analysismentioning
confidence: 99%